How to optimize nonlinear force-free coronal magnetic field extrapolations from SDO/HMI vector magnetograms?

Abstract

The SDO/HMI instruments provide photospheric vector magnetograms with a high spatial and temporal resolution. Our intention is to model the coronal magnetic field above active regions with the help of a nonlinear force-free extrapolation code. Our code is based on an optimization principle and has been tested extensively with semi-analytic and numeric equilibria and been applied before to vector magnetograms from Hinode and ground based observations. Recently we implemented a new version which takes measurement errors in photospheric vector magnetograms into account. Photospheric field measurements are often due to measurement errors and finite nonmagnetic forces inconsistent as a boundary for a force-free field in the corona. In order to deal with these uncertainties, we developed two improvements: 1.) Preprocessing of the surface measurements in order to make them compatible with a force-free field 2.) The new code keeps a balance between the force-free constraint and deviation from the photospheric field measurements. Both methods contain free parameters, which have to be optimized for use with data from SDO/HMI. Within this work we describe the corresponding analysis method and evaluate the force-free equilibria by means of how well force-freeness and solenoidal conditions are fulfilled, the angle between magnetic field and electric current and by comparing projections of magnetic field lines with coronal images from SDO/AIA. We also compute the available free magnetic energy and discuss the potential influence of control parameters.

17 Pages, 6 Figures, Sol. Phys., accepted

References in corpus (13)

• Optimization code with weighting function for the reconstruction of coronal magnetic fields
• Preprocessing of vector magnetograph data for a non-linear force-free magnetic field reconstruction
• A Critical Assessment of Nonlinear Force-Free Field Modeling of the Solar Corona for Active Region 10953
• VFISV: Very Fast Inversion of the Stokes Vector for the Helioseismic and Magnetic Imager
• Non-linear force-free field modeling of a solar active region around the time of a major flare and coronal mass ejection
• Nonlinear force-free modeling of the solar coronal magnetic field
• Comparing magnetic field extrapolations with measurements of magnetic loops
• A self-consistent nonlinear force-free solution for a solar active region magnetic field
• First nonlinear force-free field extrapolations of SOLIS/VSM data
• Achieving Self-Consistent Nonlinear Force-free Modeling of Solar Active Regions
• Nonlinear force-free field extrapolation in spherical geometry: improved boundary data treatment applied to a SOLIS/VSM vector magnetogram
• Constraining 3D Magnetic Field Extrapolations Using The Twin Perspectives of STEREO
• Magnetic Connectivity between Active Regions 10987, 10988, and 10989 by Means of Nonlinear Force-Free Field Extrapolation

Cited by in corpus (77)

• Structure, Stability, and Evolution of Magnetic Flux Ropes from the Perspective of Magnetic Twist
• The Interaction of Successive Coronal Mass Ejections: A Review
• The Magnetic Field in the Solar Atmosphere
• Solar Force-free Magnetic Fields
• Alfvén Wave Dissipation in the Solar Chromosphere
• Extrapolation of the Solar Coronal Magnetic Field from SDO/HMI Magnetogram by a CESE--MHD--NLFFF Code
• The Influence of Spatial Resolution on Nonlinear Force-Free Modeling
• The Role of Erupting Sigmoid in Triggering a Flare with Parallel and Large-Scale Quasi-Circular Ribbons
• Nonlinear Force-Free Extrapolation of the Coronal Magnetic Field Based on the MHD Relaxation Method
• Statistical Analysis of Torus and Kink Instabilities in Solar Eruptions
• A Circular-ribbon Solar Flare Following an Asymmetric Filament Eruption
• Study of Two Successive Three-Ribbon Solar Flares on 2012 July 6
• Rapid buildup of a magnetic flux rope during a confined X2.2 class flare in NOAA AR 12673
• Three-dimensional Magnetic Restructuring in Two Homologous Solar Flares in the Seismically Active NOAA AR 11283
• A Circular White-Light Flare with Impulsive and Gradual White-Light Kernels
• Investigating Energetic X-Shaped Flares on the Outskirts of A Solar Active Region
• A secondary fan-spine magnetic structure in active region 11897
• Sympathetic Solar Filament Eruptions on 2015 March 15
• Formation of an active region filament driven by a series of jets
• Non-equilibrium Flux Rope Formation by Confined Flares Preceding a Solar Coronal Mass Ejection
• Casting the Coronal Magnetic Field Reconstruction Tools in 3D Using MHD Bifrost Model
• Very fast helicity injection leading to critically stable state and large eruptive activity in solar active region NOAA 12673
• High-Resolution Observations of Flares in an Arch Filament System
• Coronal Mini-jets in an Activated Solar Tornado-like Prominence
• External reconnection and resultant reconfiguration of overlying magnetic fields during sympathetic eruptions of two filaments
• New Evidence that Magnetoconvection Drives Solar-Stellar Coronal Heating
• Spectroscopic observations of a flare-related coronal jet
• Evolutionary stages and triggering process of a complex eruptive flare with circular and parallel ribbons
• Comparison of Two Coronal Magnetic Field Models for Reconstructing a Sigmoidal Solar Active Region With Coronal Loops
• A comparative study between a failed and a successful eruption initiated from the same polarity inversion line in AR 11387
• Formation of a Magnetic Flux Rope in the Early Emergence Phase of NOAA Active Region 12673
• Eruptive-Impulsive Homologous M-class Flares Associated with Double-Decker Flux Rope Configuration in Mini-Sigmoid of NOAA 12673
• Extending Counter-Streaming Motion from an Active Region Filament to Sunspot Light Bridge
• Evolution of Photospheric Vector Magnetic Field Associated with Moving Flare Ribbons As Seen By GST
• A Comparison Between Nonlinear Force-Free Field and Potential Field Models Using Full-Disk SDO/HMI Magnetogram
• Identification of Pre-flare Processes and Their Possible Role in Driving a Large-scale Flux Rope Eruption with Complex M-class Flare in the Active Region NOAA 12371
• The Magnetic Properties of Heating Events on High-Temperature Active Region Loops
• Towards a Quantitative Comparison of Magnetic Field Extrapolations and Observed Coronal Loops
• The causes of quasi-homologous CMEs
• Multi-Spacecraft Observations of the Rotation and Non-Radial Motion of a CME Flux Rope causing an intense geomagnetic storm
• A partial filament eruption in three steps induced by external magnetic reconnection
• Deducing the reliability of relative helicities from nonlinear force-free coronal models
• Data-Optimized Coronal Field Model: I. Proof of Concept
• 3-D nonlinear force-free field reconstruction of solar active region 11158 by direct boundary integral equation
• Magnetic structure of solar flare regions producing hard X-ray pulsations
• Successive occurrences of quasi-circular ribbon flares in a fan-spine-like configuration involving hyperbolic flux tube
• The 2019 International Women's Day event: A two-step solar flare with multiple eruptive signatures and low Earth impact
• Quantitative Characterization of Magnetic Flux Rope Properties for Two Solar Eruption Events
• Observationally quantified reconnection providing a viable mechanism for active region coronal heating
• Studying the transfer of magnetic helicity in solar active regions with the connectivity-based helicity flux density method
• Global Energetics of Solar Flares. IX. Refined Magnetic Modeling
• Arcade Implosion Caused by a Filament Eruption in a Flare
• Multiwavelength Signatures of Episodic Null Point Reconnection in a Quadrupolar Magnetic Configuration and the Cause of Failed Flux Rope Eruption
• Sunspot penumbral filaments intruding into a light bridge and the resultant reconnection jets
• On estimating the force-freeness based on observed magnetograms
• Reconstructing 3D Magnetic Topology of On-disk Prominence Bubbles from Stereoscopic Observations
• On measuring divergence for magnetic field modeling
• Non-Stationary Fast-Driven Self-Organized Criticality in Solar Flares
• Unveiling the True Nature of Plasma Dynamics from the Reference Frame of a Super-penumbral Fibril
• Buildup of the Magnetic Flux Ropes in Homologous Solar Eruptions
• The configuration and failed eruption of a complex magnetic flux rope above a δ sunspot region
• Sigmoid Formation Through Slippage of A Single J-shaped Coronal Loop
• Temporal and spatial relationship of flare signatures and the force-free coronal magnetic field
• Modeling coronal magnetic field using spherical geometry: cases with several active regions
• Global energetics of solar powerful events on 6 September 2017
• Two-stage evolution of an extended C-class eruptive flaring activity from sigmoid active region NOAA 12734: SDO and Udaipur-CALLISTO observations
• Tracking downflows from the chromosphere to the photosphere in a solar arch filament system
• Estimating electric current densities in solar active regions
• The dynamics of AR 12700 in its early emerging phase I: interchange reconnection
• Homologous flaring activity over a sunspot light bridge in an emerging active region
• The dynamics of AR 12700 in its early emerging phase II: fan-shaped activities relevant to arch filament systems
• Evolution of magnetic fields and energy release processes during homologous eruptive flares
• A Solar Eruption with Relatively Strong Geo-effectiveness Originating from Active Region Peripheral Diffusive Polarities
• A giant dark channel across the solar equator consisting of two filament channels with different chiralities
• Reconstructing Highly-twisted Magnetic Fields
• Fields and Flares: Understanding the Complex Magnetic Topologies of Solar Active Regions
• Multi-scale Energy Release Events in the Quiet Sun: A Possible Source for Coronal Heating